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Finding the Fourth Proportional to 2,032.71, 3,049.41 and 800.30

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Solution

The fourth proportional to 2,032.71, 3,049.41 and 800.30 is: 1,200.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.71 : 3,049.41 = 800.30 : x
  2. Step 2: Convert to fraction form
    2,032.71/3,049.41 = 800.30/x
  3. Step 3: Cross multiply
    2,032.71x = 3,049.41 × 800.30
  4. Step 4: Simplify right side
    2,032.71x = 2,440,427.58
  5. Step 5: Solve for x
    x = 2,440,427.58/2,032.71
  6. Step 6: Final answer
    x = 1,200.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.